The basic data for our calculations comes as a table of death rates.
Age | Males | Females |
---|---|---|
0 | .00844 | .00664 |
1 | .00069 | .00053 |
2 | .00046 | .00034 |
10 | .00013 | .00010 |
20 | .00140 | .00050 |
30 | .00153 | .00050 |
40 | .00193 | .00095 |
50 | .00567 | .00305 |
60 | .01299 | .00792 |
70 | .03473 | .01764 |
80 | .07644 | .03966 |
90 | .15787 | .11250 |
100 | .26876 | .23969 |
The following are standard definitions used in this field:
Let q(x) = probability that a person will die within one year of age xl(x) = fraction of those still alive at age x l(0) = 1 everyone alive at age 0 l(x) = l(x-1) (1-q(x-1)) number alive at x is number at x-1 times (1 - probability) of death d(x) = l(x) q(x) number of deaths in year x L(x) = number of lives lived between year x and x+1 L(x) = l(x) - d(x)/2 people who die live on average a half year e(x) = life expectancy for a person of age x e(x) = Sum_{i=x,inf} L(i) / l(x)
The above definitions should help you understand our life table. (It came from the Center on the Economics and Demography of Aging of Berkeley.)